Denis Bell



Professor of Mathematics 

Department of Mathematics 

University of North Florida

Jacksonville, FL 32224

(904) 620-2653

dbell@unf.edu 




Education

B.Sc. University of Manchester, 1976 

M.Sc. University of Manchester, 1977 

Ph.D. University of Warwick, 1982


Area of Research

  1. Stochastic analysis and related areas of mathematics. In particular: Borel measures on vector spaces. Stochastic differential equations and Malliavin calculus. Partial differential equations, hypoellipticity theory and boundary-value problems. Stochastic differential geometry. Biological and financial models.


Selected Publications

  1. A quasi-invariance theorem for measures on Banach spaces. Trans. Amer. Math. Soc. 290 (1985) 851-855.
  2. The Malliavin Calculus. Pitman Monographs and Surveys in Pure and Applied Mathematics, Vol. 34. Longman, Essex; Wiley, NY, 1987 (second edition published by Dover, 2006).
  3. The Malliavin calculus and stochastic delay equations (with S. Mohammed). J. Funct. Anal. 99 (1991) 75-99.
  4. An extension of Hormander's theorem for infinitely degenerate second-order operators (with S. Mohammed). Duke Math. J. 78 (1995) 453 - 475.
  5. The Gauss-Bonnet theorem for vector bundles. J. Geom. 85 no. 1-2 (2006) 15-21.
  6. Divergence theorems in path space III: hypoelliptic diffusions and beyond. J. Funct. Anal. 252, no. 1 (2007) 232-253.


Publications (with links to on-line papers)



Talks 



Grants and Awards



Pictures


  • Short Stories



    Math Jokes



    Office Hours  Spring 2015

    Tuesday       12:00 pm - 1:30 pm
    Thursday      5:30 pm - 7:00 pm